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Finding the Fourth Proportional to 286,045.46, 429,093.18 and 106,132.91

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Solution

The fourth proportional to 286,045.46, 429,093.18 and 106,132.91 is: 159,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,045.46 : 429,093.18 = 106,132.91 : x
  2. Step 2: Convert to fraction form
    286,045.46/429,093.18 = 106,132.91/x
  3. Step 3: Cross multiply
    286,045.46x = 429,093.18 × 106,132.91
  4. Step 4: Simplify right side
    286,045.46x = 45,540,905,709.09
  5. Step 5: Solve for x
    x = 45,540,905,709.09/286,045.46
  6. Step 6: Final answer
    x = 159,208.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.